Finite Group Databasebeta

← #14918073

Subgroups — #14918073

Order 2816.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623065C211yesmaximal, characteristic
2#13071807C211yesmaximal, characteristic, complemented
3#13071796C211yesmaximal, characteristic, complemented
4#13071785C211yesmaximal, characteristic, complemented
5#13071779C211yesmaximal, characteristic, complemented
6#13071744C211yesmaximal, characteristic, complemented
7#13071739C211yesmaximal, characteristic, complemented
8#13071700C211yesmaximal, characteristic, complemented
9#13071699C211yesmaximal, characteristic, complemented
10#13071690C211yesmaximal, characteristic, complemented
11#13071672C211yesmaximal, characteristic, complemented
12#13071644C211yesmaximal, characteristic, complemented
13#13071605C211yesmaximal, characteristic, complemented
14#13071576C211yesmaximal, characteristic, complemented
15#13071574C211yesmaximal, characteristic, complemented
16#13071476C211yesmaximal, characteristic, complemented
17#13071429C211yesmaximal, characteristic, complemented
18#13071426C211yesmaximal, characteristic, complemented
19#13071423C211yesmaximal, characteristic, complemented
20#13071404C211yesmaximal, characteristic, complemented
21#13071390C211yesmaximal, characteristic, complemented
22#13071384C211yesmaximal, characteristic, complemented
23#13071381C211yesmaximal, characteristic
24#13071367C211yesmaximal, characteristic, complemented
25#13071325C211yesmaximal, characteristic, complemented
26#13071316C211yesmaximal, characteristic
27#13071247C211yesmaximal, characteristic, complemented
28C4×#66949C211yesmaximal, characteristic, complemented
29#13071143C211yesmaximal, characteristic, complemented
30#13071057C211yesmaximal, characteristic, complemented
31C11×#2347C211yesmaximal, characteristic, complemented
32C2×C11×#117C2211yescharacteristic
33C2×#66983C2211yescharacteristic
34C2×#66977C2211yescharacteristic
35#10623065C4116yescomplemented
36C2×#66951C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66949C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66938C2211yescharacteristic
41C2×#66938C2211yescharacteristic
42C2×#66936C2211yescharacteristic
43C2×#66936C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×#66928C2211yescharacteristic
47C2×C4×D44C2211yescharacteristic
48C2×#66925C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×#66922C2211yescharacteristic
51C2×C4×Dic22C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic
53C2×C4×Dic22C2211yescharacteristic
54C11×#389C2211yescharacteristic
55C11×#389C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#383C2211yescharacteristic
61C11×#383C2211yescharacteristic
62C11×#380C2211yescharacteristic
63C4×C11×C4⋊C4C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68#10622824C2211yescharacteristic
69C2×C11⋊#95C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622590C2211yescharacteristic
89#10622589C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94#10622586C2211yescharacteristic
95#10622586C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622571C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622563C2211yescharacteristic
105#10622563C2211yescharacteristic
106#10622559C2211yescharacteristic
107#10622559C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622557C2211yescharacteristic
112C22⋊C4×Dic11C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126#10622550C2211yescharacteristic
127#10622549C2211yescharacteristic
128C4×C4⋊Dic11C2211yescharacteristic
129#10622546C2211yescharacteristic
130#10622546C2211yescharacteristic
131#10622546C2211yescharacteristic
132#10622546C2211yescharacteristic
133#10622545C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138#10622542C2211yescharacteristic
139#10622542C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622277C2211yescharacteristic
159D11×#95C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#117C2×C418yescomplemented
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230#66983C2×C418yes—
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259#66977C2×C418yescomplemented
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294#66951C2×C418yescomplemented
295#66951C2×C418yescomplemented
296#66949C2×C418yescomplemented
297#66949C2×C418yescomplemented
298#66938C2×C418yescomplemented
299#66938C2×C418yescomplemented
300#66936C2×C418yescomplemented
301#66936C2×C418yescomplemented
302(C22⋊D11)⋊C4—42no—
303(C22⋊D11)⋊C4—42no—
304#66928C2×C418yescomplemented
305C4×D44C2×C418yescomplemented
306#66925—42no—
307C42×D11—42no—
308#66922C2×C418yescomplemented
309C4×Dic22—42no—
310C4×Dic22—42no—
311C4×Dic22C2×C418yescomplemented
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364#34448—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C22×C4×C11—41no—
369C22×C4×C11—41no—
370C22×C4×C11C22×C414yes—
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C2×C22⋊D11—41no—
386C2×C22⋊D11—41no—
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C2×C22⋊D11C22×C414yes—
390C2×C22⋊D11C22×C414yes—
391C22×Dic11—22no—
392C22×Dic11—41no—
393C22×Dic11—41no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C2×D44—41no—
412C2×D44—41no—
413C2×D44C22×C414yes—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11C22×C414yes—
431C2×C4×D11C22×C414yes—
432C2×Dic22—41no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C2×Dic22—41no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22C22×C414yes—
439C2×Dic22C22×C414yes—
440C2×Dic22C22×C414yes—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4C22×C414yes—
448C11×C4⋊C4C22×C414yes—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4C22×C414yes—
454C11×C22⋊C4C22×C414yes—
455C42×C11—41no—
456C42×C11—41no—
457C42×C11—41no—
458C42×C11—41no—
459C42×C11—41no—
460C42×C11—41no—
461C42×C11C22×C414yes—
462C42×C11C22×C414yes—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11C22×C414yes—
466C22⋊Dic11C22×C414yes—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4C22×C414yes—
480(C2×D11)⋊C4C22×C414yes—
481(C2×D11)⋊C4C22×C414yes—
482(C2×D11)⋊C4C22×C414yes—
483(C2×D11)⋊C4C22×C414yes—
484(C2×D11)⋊C4C22×C414yes—
485(C2×D11)⋊C4C22×C414yes—
486(C2×D11)⋊C4C22×C414yes—
487C4⋊Dic11—22no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11C22×C414yes—
492C4⋊Dic11C22×C414yes—
493C4⋊Dic11C22×C414yes—
494C4⋊Dic11C22×C414yes—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4C22×C414yes—
508Dic11⋊C4C22×C414yes—
509Dic11⋊C4C22×C414yes—
510Dic11⋊C4C22×C414yes—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11C22×C414yes—
528C4×Dic11C22×C414yes—
529C2×#542—111no—
530#2383—111no—
531#2381—111no—
532#2379—111no—
533#2378—111no—
534#2374—111no—
535#2373—111no—
536#2368—111no—
537#2368—111no—
538#2367—111no—
539#2365—111no—
540#2362—111no—
541#2359—111no—
542#2356—111no—
543#2355—111no—
544#2347D1111yescharacteristic, complemented
545#2343—111no—
546#2337—111no—
547#2337—111no—
548#2337—111no—
549#2335—111no—
550#2334—111no—
551#2334—111no—
552#2333—111no—
553#2332—111no—
554#2326—111no—
555#2325—111no—
556#2318—111no—
557C4×C22⋊Q8—111no—
558C4×#123—111no—
559#2290—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11C23×C412yes—
567C23×C11C2511yescharacteristic
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11C23×C412yes—
581C22×D11C23×C412yes—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—44no—
618C2×C4×C11C23×C412yes—
619C2×C4×C11C23×C412yes—
620C2×C4×C11C23×C412yes—
621C2×C4×C11C23×C412yes—
622C2×C4×C11C23×C412yes—
623C2×C4×C11C23×C412yes—
624C2×C4×C112−1+412yes—
625C22⋊D11—44no—
626C22⋊D11—44no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—82no—
663C2×Dic11—82no—
664C2×Dic11C23×C412yes—
665C2×Dic11C23×C412yes—
666C2×Dic11C23×C412yes—
667C2×Dic11C23×C412yes—
668C2×Dic11C23×C412yes—
669C2×Dic11C23×C412yes—
670C2×Dic11H(5,𝔽2)12yes—
671D44—44no—
672C4×D11—44no—
673C4×D11—44no—
674C4×D11—44no—
675C4×D11—44no—
676C4×D11—82no—
677C4×D11—82no—
678Dic22—44no—
679Dic22—44no—
680Dic22—44no—
681#542—1116no—
682C2×C4⋊Q8—111no—
683C2×#126—111no—
684C2×#126—111no—
685C2×#124—111no—
686C2×#124—111no—
687C2×#124—111no—
688C2×#123—111no—
689C2×#123—111no—
690C2×C22⋊Q8—111no—
691C2×C22⋊Q8—111no—
692C2×C22⋊Q8—111no—
693C2×#121—111no—
694C2×C4×Q8—111no—
695C2×C4×Q8—111no—
696C2×C4×Q8—111no—
697C2×C4×D4—111no—
698C2×C4×D4—111no—
699C2×C4×D4—111no—
700C2×#117—111no—
701C2×#117C2×D1111yescharacteristic
702C22×C42—111no—
703#391—111no—
704#391—111no—
705#391—111no—
706#391—111no—
707#391—111no—
708#391—111no—
709#391—111no—
710#391—111no—
711#391—111no—
712#391—111no—
713#390—111no—
714#390—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389C2×D1111yescharacteristic
720#389C2×D1111yescharacteristic
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388C2×D1111yescharacteristic
742#388C2×D1111yescharacteristic
743#388C2×D1111yescharacteristic
744#388C2×D1111yescharacteristic
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#386—111no—
770#386—111no—
771#386—111no—
772#386—111no—
773#386—111no—
774#386—111no—
775#386—111no—
776#386—111no—
777#385—111no—
778#385—111no—
779#385—111no—
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#384—111no—
792#383—111no—
793#383—111no—
794#383C2×D1111yescharacteristic
795#383C2×D1111yescharacteristic
796#382—111no—
797#382—111no—
798#382—111no—
799#381—111no—
800#381—111no—
801#380—111no—
802#380C2×D1111yescharacteristic
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4C2×D1111yescharacteristic
816C4×C4⋊C4C2×D1111yescharacteristic
817C4×C4⋊C4C2×D1111yescharacteristic
818C4×C4⋊C4C2×D1111yescharacteristic
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4C2×D1111yescharacteristic
833#376—111no—
834#376—111no—
835C2×#95—111no—
836C2×#95—111no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11C24×C411yescharacteristic
845C22×C11C2×H(5,𝔽2)11yescharacteristic
846C22×C11C2×2−1+411yescharacteristic
847C22×C11#58511yescharacteristic
848C22×C11#58511yescharacteristic
849C22×C11#58511yescharacteristic
850C22×C11#58511yescharacteristic
851C2×D11—22no—
852C2×D11—22no—
853C2×D11—22no—
854C2×D11—22no—
855C2×D11—22no—
856C2×D11—22no—
857C2×D11—41no—
858C2×D11—41no—
859C2×D11—41no—
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—22no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879Dic11—22no—
880Dic11—22no—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—22no—
885Dic11—22no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893C22×Q8—111no—
894C22×Q8—111no—
895C22×Q8—111no—
896C22×D4—111no—
897C22×D4—111no—
898C22×D4—111no—
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4C22×D1111yescharacteristic
908C4⋊Q8—118no—
909#126—118no—
910#126—118no—
911#124—118no—
912#124—118no—
913#124—118no—
914#123—118no—
915#123—118no—
916C22⋊Q8—118no—
917C22⋊Q8—118no—
918C22⋊Q8—118no—
919#121—118no—
920C4×Q8—118no—
921C4×Q8—442no—
922C4×Q8—442no—
923C4×D4—118no—
924C4×D4—442no—
925C4×D4—442no—
926#117—442no—
927#117C4×D1118yescomplemented
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—442no—
1009C2×C42C22×D1111yescharacteristic
1010C2×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069C2×C11—42no—
1070C2×C11#342811yescharacteristic
1071C2×C11C4×H(5,𝔽2)11yescharacteristic
1072C2×C11C4×2−1+411yescharacteristic
1073C2×C11#353311yescharacteristic
1074C2×C11#354111yescharacteristic
1075C2×C11#355711yescharacteristic
1076C2×C11#356811yescharacteristic
1077D11—42no—
1078D11—42no—
1079C24—111no—
1080C24—111no—
1081C24C23×D1111yescharacteristic
1082C2×Q8—114no—
1083C2×Q8—114no—
1084C2×Q8—114no—
1085C2×Q8—441no—
1086C2×Q8—441no—
1087C2×Q8—441no—
1088C2×Q8—441no—
1089C2×Q8—441no—
1090C2×Q8—441no—
1091C2×D4—114no—
1092C2×D4—114no—
1093C2×D4—114no—
1094C2×D4—441no—
1095C2×D4—441no—
1096C2×D4—441no—
1097C2×D4—441no—
1098C2×D4—441no—
1099C2×D4—441no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—114no—
1110C22×C4—114no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—441no—
1122C22×C4—441no—
1123C22×C4—441no—
1124C22×C4—441no—
1125C22×C4—441no—
1126C22×C4—441no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4C2×C4×D1114yes—
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—114no—
1162C4⋊C4—114no—
1163C4⋊C4—114no—
1164C4⋊C4—114no—
1165C4⋊C4—114no—
1166C4⋊C4—114no—
1167C4⋊C4—114no—
1168C4⋊C4—114no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4C2×C4×D1114yes—
1186C4⋊C4C2×C4×D1114yes—
1187C22⋊C4—22no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—114no—
1192C22⋊C4—114no—
1193C22⋊C4—114no—
1194C22⋊C4—114no—
1195C22⋊C4—114no—
1196C22⋊C4—114no—
1197C22⋊C4—114no—
1198C22⋊C4—114no—
1199C22⋊C4—114no—
1200C22⋊C4—114no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—441no—
1204C22⋊C4—441no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C22⋊C4—441no—
1208C22⋊C4—441no—
1209C22⋊C4—441no—
1210C22⋊C4—441no—
1211C22⋊C4—441no—
1212C22⋊C4—441no—
1213C22⋊C4—441no—
1214C22⋊C4—441no—
1215C22⋊C4C2×C4×D1114yes—
1216C22⋊C4C2×C4×D1114yes—
1217C42—41no—
1218C42—41no—
1219C42—41no—
1220C42—41no—
1221C42—41no—
1222C42—41no—
1223C42—114no—
1224C42—114no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—441no—
1229C42—441no—
1230C42—441no—
1231C42—441no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42—441no—
1241C42C2×C4×D1114yes—
1242C42C2×C4×D1114yes—
1243C11#3444811yescharacteristic, complemented, Sylow
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—112no—
1251C23—112no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23C22×C4×D1112yes—
1265C23C24×D1111yescharacteristic
1266Q8—444no—
1267Q8—444no—
1268Q8—444no—
1269D4—444no—
1270D4—444no—
1271D4—444no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—44no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—112no—
1314C2×C4—112no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—444no—
1351C2×C4—444no—
1352C2×C4—444no—
1353C2×C4—444no—
1354C2×C4—882no—
1355C2×C4—882no—
1356C2×C4—882no—
1357C2×C4—882no—
1358C2×C4C22×C4×D1112yes—
1359C2×C4C22×C4×D1112yes—
1360C2×C4C22×C4×D1112yes—
1361C2×C4C22×C4×D1112yes—
1362C2×C4C22×C4×D1112yes—
1363C2×C4C22×C4×D1112yes—
1364C2×C4#6704312yes—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—222no—
1373C22—222no—
1374C22—222no—
1375C22—222no—
1376C22—222no—
1377C22—222no—
1378C22—441no—
1379C22—441no—
1380C22—441no—
1381C22—441no—
1382C22—441no—
1383C22—441no—
1384C22—441no—
1385C22—441no—
1386C22C23×C4×D1111yescharacteristic
1387C22C2×#6704311yescharacteristic
1388C22#1062345311yescharacteristic
1389C22#1062345311yescharacteristic
1390C22#1062345311yescharacteristic
1391C22D11×H(5,𝔽2)11yescharacteristic
1392C22#1062345711yescharacteristic
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—22no—
1398C4—22no—
1399C4—22no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—222no—
1408C4—222no—
1409C4—222no—
1410C4—222no—
1411C4—222no—
1412C4—222no—
1413C4—222no—
1414C4—441no—
1415C4—441no—
1416C4—441no—
1417C4—441no—
1418C4—441no—
1419C4—441no—
1420C4—441no—
1421C2—42no—
1422C2—442no—
1423C2—442no—
1424C2#1308181711yescharacteristic
1425C2#1308182211yescharacteristic
1426C2C4×#6704311yescharacteristic
1427C2#1308277411yescharacteristic
1428C2#1308289411yescharacteristic
1429C2#1308311911yescharacteristic
1430C2#1308331111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2347C2
socle, cosocleC23×C11C25
prime radicalC2×#66983C22
hypercenter#2347D11
hypocenterC11#34448
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2347

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #13071807C2semidirect
3. #13071796C2semidirect
4. #13071785C2semidirect
5. #13071779C2semidirect
6. #13071744C2semidirect
7. #13071739C2semidirect
8. #13071700C2semidirect
9. #13071699C2semidirect
10. #13071690C2semidirect
11. #13071672C2semidirect
12. #13071644C2semidirect
13. #13071605C2semidirect
14. #13071576C2semidirect
15. #13071574C2semidirect
16. #13071476C2semidirect
17. #13071429C2semidirect
18. #13071426C2semidirect
19. #13071423C2semidirect
20. #13071404C2semidirect
21. #13071390C2semidirect
22. #13071384C2semidirect
24. #13071367C2semidirect
25. #13071325C2semidirect
27. #13071247C2semidirect
28. C4×#66949C2semidirect
29. #13071143C2semidirect
30. #13071057C2semidirect
31. C11×#2347C2semidirect
35. #10623065C4semidirect
203. C11×#117C2×C4semidirect
259. #66977C2×C4semidirect
294. #66951C2×C4semidirect
295. #66951C2×C4semidirect
296. #66949C2×C4semidirect
297. #66949C2×C4semidirect
298. #66938C2×C4semidirect
299. #66938C2×C4semidirect
300. #66936C2×C4semidirect
301. #66936C2×C4semidirect
304. #66928C2×C4semidirect
305. C4×D44C2×C4semidirect
308. #66922C2×C4semidirect
311. C4×Dic22C2×C4semidirect
544. #2347D11semidirect
927. #117C4×D11semidirect
1243. C11#34448semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#106230652
#130718072
#130717962
#130717852
#130717792
#130717442
#130717392
#130717002
#130716992
#130716902
#130716722
#130716442
#130716052
#130715762
#130715742
#130714762
#130714292
#130714262
#130714232
#130714042
#130713902
#130713842
#130713812
#130713672
#130713252
#130713162
#130712472
C4×#669492
#130711432
#130710572
C11×#23472
#3444811